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Function f(x)=|x|-|x-1| is monotonically...

Function `f(x)=|x|-|x-1|` is monotonically increasing when `x<0` (b) `x >1` `x<1` (d) `0

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Knowledge Check

  • If f(x)= kx-sin x is monotonically increasing then

    A
    `k gt 1`
    B
    ` k gt -1`
    C
    ` k lt 1`
    D
    `k lt - 1`

  • Function f(x) = sin x – cos x is monotonic increasing when -

    A
    `x in (0, pi//2)`
    B
    `x in (-pi//4, 3pi//4)`
    C
    ` x in (pi//4, 3pi//4)`
    D
    No where

  • Function f(x) = log sin x is monotonic increasing when

    A
    `x in (pi//2, pi)`
    B
    `x in (-pi//2, 0)`
    C
    `x in (0, pi)`
    D
    `x in (0, pi//2)`

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